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Estatística Matemática

Código 14789
Ano 2
Semestre S2
Créditos ECTS 6
Carga Horária TP(60H)
Área Científica Matemática
Learning outcomes To identify, develop and apply statistical models for inference; evaluate statistical inference and decision errors.
Syllabus 1. Statistical models: exponential models, distributions and empirical moments, exhaustive and complete statistics, Fisher and Kullback information.
2. Parametric estimation: centric and convergent estimators, estimator efficiency, point estimation methods, estimation by regions of confidence.
3. Hypothesis tests: significance and power, convergence of successions of tests, Neyman-Pearson's theorem, multiple hypothesis tests, adjustment tests.
4. Simple linear regression model: least squares estimators, linearity test of the model in the Normal case.
Teaching Methodologies and Assessment Criteria Presentation and deduction of results, resolution of application problems.
The measurement of knowledge and skills acquired by students during teaching-learning is done through three assessment moments, namely two assignments and a written work.

Exemption from the final exam is granted when the final teaching-learning classification is equal to or greater than 9.5 and attendance is superior to 70%.
Student workers have special status, see academics.

The "FREQUENCY" classification is granted when the final teaching-learning classification is greater than or equal to 6 values and less than 9.5 values.

Assignment 1 April 11 6 values
Assignment 2 May 27 6 values
Written work until May 22. 8 values
Main Bibliography -Cramer, H. (1991) Mathematical Methods of Statistics, Princeton Univ. Press.
-Gonçalves E. e N. Mendes-Lopes, N. (2003). Estatística - Teoria Matemática e Aplicações, Escolar Editora.
-Bolfarine, H., Sandoval, M.C. (2000). Introdução à Inferência EstatÍstica.
-Kiefer, J. C. (1987) Introduction to Statistical Inference, Springer-Verlag.
-Mood, A., Graybill, F. e Boes, D. (1974). Introduction to the Theory of Statistics. McGraw-Hill International Editions.
-Murteira, B.J.F. (1980). Probabilidades e Estatística, Vol. 2. Editora McGraw-Hill de Portugal, Lda.
-Murteira, B.J.F. (1990). Probabilidades e Estatística, Vol. 2 (2a. edição). Editora McGraw-Hill de Portugal, Lda.
-Rohatgi, V.K (1976). An Introduction to probability theory and mathematical statistics. New York: John Wiley.
-Tong, Y.L. (1990). The Multivariate Normal Distribution. Springer-Verlag.
Language Portuguese. Tutorial support is available in English.
Data da última atualização: 2025-06-12
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